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77julia77 [94]
3 years ago
14

Which of the following statements is not true?

Mathematics
2 answers:
alexgriva [62]3 years ago
7 0

Answer:

first one

Step-by-step explanation:

it's between 3 and 4

ask me if you need explanation ♥️

romanna [79]3 years ago
7 0

Answer:

"The square root of 12 is between 4 & 5."

Step-by-step explanation:

1. "The square root of 12 is between 4 & 5" This doesn't make sense: 4 squared is 16 and 5 squared is 25. 12 is not between either of those numbers.

2. "The square root of 90 is between 9 & 10." 9 squared is 81, 10 squared is 100. 90 is between those numbers, so this makes sense.

3. "The square root of 40 is between 6 & 7." 6 squared is 36, and 7 squared is 49. 40 is between these numbers, so that makes sense.

4. "The square root of 5 is between 2 & 3." 2 squared is 4, and 3 squared is 9. 5 is between those two numbers, so this makes sense.

Therefore, the statement that is not true is the first one: "The square root of 12 is between 4 & 5."

I hope this helps!

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Wesley is making a patio from stones of two sizes, 5 inches wide and 10 inches wide. he wants to begin and end his pattern with
kolezko [41]
Wesley will need 10 10-inch stones, and 9 5-inch stones.

Since he wants to begin and end the pattern with 10-inch stones, we put a 10 at the beginning and end.

10  5  10  5  10  5  10  5  10  5  10  5  10  5  10  5  10  5  10

10 x 10-inch = 100 inches
9 x 5-inch = 45 inches

100 + 45 = 145 inches
4 0
3 years ago
In his first 64 games, Sasha hit 48 home runs. If he continues at that rate, how many home runs will Sasha hit in his next 272 g
telo118 [61]

Answer:

A

Step-by-step explanation:

272/64 = 4.25

4.25*48 = 204

8 0
3 years ago
A quality analyst of a tennis racquet manufacturing plant investigates if the length of a junior's tennis racquet conforms to th
Burka [1]

Answer:

Confidence interval : 21.506 to 24.493

Step-by-step explanation:

A quality analyst selects twenty racquets and obtains the following lengths:

21, 25, 23, 22, 24, 21, 25, 21, 23, 26, 21, 24, 22, 24, 23, 21, 21, 26, 23, 24

So, sample size = n =20

Now we are supposed to find Construct a 99.9% confidence interval for the mean length of all the junior's tennis racquets manufactured at this plant.

Since n < 30

So we will use t-distribution

Confidence level = 99.9%

Significance level = α = 0.001

Now calculate the sample mean

X=21, 25, 23, 22, 24, 21, 25, 21, 23, 26, 21, 24, 22, 24, 23, 21, 21, 26, 23, 24

Sample mean = \bar{x}=\frac{\sum x}{n}

Sample mean = \bar{x}=\frac{21+25+23+22+24+21+25+21+23+ 26+ 21+24+22+ 24+23+21+ 21+ 26+23+ 24}{20}

Sample mean = \bar{x}=23

Sample standard deviation = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}

Sample standard deviation = \sqrt{\frac{(21-23)^2+(25-23)^2+(23-23)^2+(22-23)^2+(24-23)^2+(21-23)^2+(25-23)^2+(21-23)^2+(23-23)^2+(26-23)^2+(21-23)^2+(24-23)^2+(22-23)^2+(24-23)^2+(23-23)^2+(21-23)^2+(21-23)^2+(26-23)^2+(23-23)^2+(24-23)^2}{20-1}}

Sample standard deviation= s = 1.72

Degree of freedom = n-1 = 20-1 -19

Critical value of t using the t-distribution table t_{\frac{\alpha}{2} = 3.883

Formula of confidence interval : \bar{x} \pm t_{\frac{\alpha}{2}} \times \frac{s}{\sqrt{n}}

Substitute the values in the formula

Confidence interval : 23 \pm 1.73 \times \frac{1.72}{\sqrt{20}}

Confidence interval : 23 -3.883 \times \frac{1.72}{\sqrt{20}} to 23 + 3.883 \times \frac{1.72}{\sqrt{20}}

Confidence interval : 21.506 to 24.493

Hence Confidence interval : 21.506 to 24.493

3 0
3 years ago
Read 2 more answers
You know the measure of the exterior angle which forms a linear pair with the vertex angle. Describe two ways you can find measu
aev [14]

Answer:

Step-by-step explanation:

A linear pair are two given angles whose sum is equal to 180^{o}.

Let the exterior angle be represented by x^{o}, and the three interior angles of the triangle be represented by a^{o}, b^{o} and c^{o}.

Assume that the vertex angle c^{o} is the linear pair to the exterior angle x^{o}.

i.e            x^{o} + c^{o} = 180^{o}  (sum of angles on a straight line)

Thus,

i. a^{o} +  b^{o} = x^{o}  (sum of two opposite interior angles is equal to an exterior angle)

⇒ a^{o}  = x^{o} - b^{o}

Also,

b^{o}  = x^{o} - a^{o}

But,

a^{o} + b^{o} + c^{o} = 180^{o}   (sum of angles in a triangle)

⇒ c^{o} = 180^{o} - (a^{o} +  b^{o})

and

a^{o} + b^{o} = 180^{o} - c^{o}

ii. a^{o} + b^{o} + c^{o} = 180^{o}   (sum of angles in a triangle)

a^{o} = 180^{o} - (b^{o} + c^{o})

Also,

a^{o} +  b^{o} = x^{o}

⇒ b^{o} = x^{o} - a^{o}

c^{o} = 180^{o} - x^{o}

8 0
3 years ago
(8.4 - 4.5) × (7.04 - 0.04) =
iren [92.7K]
(8.4−4.5)(7.04−0.04)

=3.9(7.04−0.04)

=(3.9)(7)

=27.3

Ans : 27.3
4 0
3 years ago
Read 2 more answers
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